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java
2 years ago
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public class Solution {
public static void main(String[] args) {
// Example input
int parentPos = 1; // Initial position of parent
int childPos = 10; // Initial position of child
int velParent = 3; // Velocity of parent
int steps = 10; // Number of steps parent takes
int[] result = calculateCommonFootstepsAndVelocity(parentPos, childPos, velParent, steps);
System.out.println(result[0] + " " + result[1]); // Output: F and V2
}
private static int[] calculateCommonFootstepsAndVelocity(int parentPos, int childPos, int velParent, int steps) {
int maxCommonSteps = 0;
int bestVelocity = 0;
// Assuming the velocity of the child can be at most twice the parent's
for (int velChild = 1; velChild <= 2 * velParent; velChild++) {
int commonSteps = 0;
for (int step = 0; step < steps; step++) {
int parentStepPos = parentPos + step * velParent;
int childStepPos = childPos + step * velChild;
if (parentStepPos == childStepPos) {
commonSteps++;
}
}
if (commonSteps >= maxCommonSteps) {
maxCommonSteps = commonSteps;
bestVelocity = velChild;
}
}
return new int[]{maxCommonSteps, bestVelocity};
}
}
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